InterviewSolution
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InterviewSolution
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Simplify and express each of the following in the form (a + ib) : `(i)" "((5)/(-3+2i)+(2)/(1-i))((4-5i)/(3+2i))" "(ii)" "((1)/(1-4i)-(2)/(1+i))((1-i)/(5+3i))` |
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Answer» Correct Answer - `{:((i),((5)/(13)+(4)/(13)i),"(ii)",((4)/(17)+(5)/(17)i)):}` `(i) ((5)/(-3+2i)+(2)/(1-i))((4-5i)/(3+2i))=(5(1-i)+2(-3+2i))/((-3+2i)(1-i))xx((4-5i))/((3+2i))` `=((-1-i)(4-5i))/((-1+5i)(3+2i))=((1+i)(4-5i))/((1-5i)(3+2i))` `=((9-i))/(13(1-i))xx((1+i))/((1+i))=((10+8i))/(26)=((5)/(13)+(4)/(13)i)`. |
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